Question
The rating of 120 movies that came out in a recent year aregiven by the accompanying table, also classified by theirgenre. G PG PG-13 R
The rating of 120 movies that came out in a recent year aregiven by the accompanying table, also classified by theirgenre.
| G | PG | PG-13 | R | Total |
Action/Adventure | 5 | 6 | 16 | 7 | 34 |
Comedy | 1 | 13 | 22 | 6 | 42 |
Drama | 0 | 3 | 11 | 9 | 23 |
Thriller/horror | 0 | 0 | 10 | 11 | 21 |
Total | 6 | 22 | 59 | 33 | 120 |
1. Find the conditional distribution (in percentages) inmovies ratings for action/adventure films. Fill in the conditionaldistribution table.
Rating of Action/Adventure Movie | G | PG | PG-13 | R |
Percentage |
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2. Find the conditional distribution (in percentage) in moviesratings for thriller/horror films. Fill in the conditionaldistribution table.
Rating of Thriller/Horror Movie | G | PG | PG-13 | R |
Percentage |
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3. Create a graph comparing the ratings of the four genres.
4. Are Genre and Rating independent? Give a brief description ofwhat these data show about movie ratings and the relationship tothe genre of the film.
a. Yes, although thriller/horror movies have fewer G or PGmovies, the percentages of G or PG are not high enough to implydependence.
b. Yes, proportions of each rating are comparable across allgenres.
c. No, action/adventures and comedies are mostly PG-13 or R,with nearly half R, while drama and thriller/horror movies havefewer R and larger percentages of G or PG.
d. No, drama and thriller/horror movies are mostly PG-13 or R,with nearly half R, while action/adventures and comedies have fewerR and larger percentages of G or PG.
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